Problem: As you very well know, this year's funkiest numbers are so called triangular numbers (that is, integers that are representable as <image>, where k is some positive integer), and the coolest numbers are those that are representable as a sum of two triangular numbers.

A well-known hipster Andrew adores everything funky and cool but unfortunately, he isn't good at maths. Given number n, help him define whether this number can be represented by a sum of two triangular numbers (not necessarily different)!

Input

The first input line contains an integer n (1 ≤ n ≤ 109).

Output

Print "YES" (without the quotes), if n can be represented as a sum of two triangular numbers, otherwise print "NO" (without the quotes).

Examples

Input

256


Output

YES


Input

512


Output

NO

Note

In the first sample number <image>.

In the second sample number 512 can not be represented as a sum of two triangular numbers.

Solution (in PYTHON):

Solution:
from sys import stdin, stdout
from math import sqrt

def cool(n):
    t = int(sqrt(n*2))
    return n+n==t*(t+1)

n = int(stdin.readline().strip())

ans = 'NO'

i = 1
while (i*(i+1)>>1) < n:
    if cool(n - (i*(i+1)>>1)):
        ans = 'YES'
        break
    i += 1

print(ans)